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Objective-2: Dispensaries IPEC plans to supply food, medication and other essential commodities to the people of Mintaga-5. The idea is to send the items from

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Objective-2: Dispensaries IPEC plans to supply food, medication and other essential commodities to the people of Mintaga-5. The idea is to send the items from drones, called Raba Tavara or Raha T, to all the houses of Mintaga-5 every day. The drones will be launched from the base station located in a nearby safe & sanitized city. Currently, IPEC has the three types of drones and the details are provided in the following table: Max air-time Serving capacity Operation Costs Type Available Numbers per tour per tour per tour (minutes) (houses) 1000 dollars) RahaT Alf 120 25 Rahal Ban 251 10 40 Rahal Tan 520 20 75 In the above table, air-time means the total time it can stay in air without refueling. The goal is to serve as many houses per day as possible. It is assumed that each drone will make only one tour per day. Your task is too (2a) Build a mathematical model that will identify the maximum number of houses that can be served in a day for the data given in the above table. Use the following main indices and parameters to build your model: H: total number of houses in Mintaga-5. h: index for houses, h = 1, ..., H. day: travel time from house i to house / in minutes. 4: travel time from base station to house i in minutes. You are allowed to use additional items like: indies, nariables and/ or parameters. Clearly define the additional items, and link them appropriately, before using them in the model. The model type should be MIP. (2b) Propose a heuristic that solves the above problem. That is propose: I. A solution structure that handles as many constraints a possible, II. A mechanism to randomly generate a solution, Ill. A mechanism to generate a neighbor solutions from a given solution, and IV. A corresponding objective function to minimize. V. Show an overview of two consecutive iterations of the proposed heuristic

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